Monday, April 24th, 2006 06:30 pm
I scraped through geometery, barely, years ago. SFB isn't getting any help from me. Perhaps one of you nice people can help?

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Monday, April 24th, 2006 10:38 pm (UTC)
How, exactly, is she supposed to determine the sloping 4' of volume? Does she find volume of 3x20x24 and then an additional 3x20x14?
Monday, April 24th, 2006 10:42 pm (UTC)
Divide it into square chunks, 3x20x10 = 600 for the shallow end. 6x20x10 = 1200 for the deep end. the square section above the slope is 3x20x4 = 240. the bit that includes the slope will be 3x20x4 divided in half = 120.

The total is 2160 cubic feet, or 16119.4 gallons.
Monday, April 24th, 2006 11:12 pm (UTC)
Thanks, anonymous.
Monday, April 24th, 2006 10:42 pm (UTC)
I come up with 2160 cubic feet and 16119.402985074626865671641791045 gallons.
But what the hell do I know?
Monday, April 24th, 2006 11:00 pm (UTC)
But what the hell do I know?

Obviously more than I do! Thanks. :)
Monday, April 24th, 2006 10:46 pm (UTC)
I would break the volume into three sections:

3x20x24 for the shallow water

3x20x10 for the deep water

and a trigular prism piece for the sloped portion equal to 1/2 of 4x3x20

Total volume is 1,440 + 600 + 120 = 2,160 cu. ft.

Divide by 0.134 to get gallons give us 16,119.4 gallons
Monday, April 24th, 2006 10:48 pm (UTC)
Dsngit, you beat me, I just figured out the sections!

Hence why you're the geek, and I'm the pots...
Monday, April 24th, 2006 10:50 pm (UTC)
Is there an extra credit question?

ResQgeek, trying to fully live up to his screen name
Monday, April 24th, 2006 11:07 pm (UTC)
holy cow! That did it for me!

*boggling at the geekitude*
Monday, April 24th, 2006 11:10 pm (UTC)
Yay for geeks! :)
Monday, April 24th, 2006 11:07 pm (UTC)
and I'm the SpEd.
Monday, April 24th, 2006 11:07 pm (UTC)
I get it all when it's explained. Ask me again, tomorrow, with different dimensions and I'd probably be crying for help again. My brain just seizes up when it comes to math.

It didn't help that, as I was talking to my father (a school teacher for YEARS), and I said, "so then you divide the cubic feet by 0.134 to get the number of gallons", he said, "No! You multiply!". Then, when I say, "That doesn't seem like nearly enough water!" he says, "You divide it."

Monday, April 24th, 2006 11:19 pm (UTC)
I never, NOT ONCE, learned about PRISMS in geometry. So I would hire a contractor to build the pool then fill it up and see how much water you used... Guess that doesn't really help, glad you found others who could! :-)

Oh, the pic refers to me, not you!
Tuesday, April 25th, 2006 01:12 pm (UTC)
That could get to be an expensive way of figuring out the problems!
Tuesday, April 25th, 2006 01:06 am (UTC)
This is the kind of thing that makes me run away screaming.
Tuesday, April 25th, 2006 01:12 pm (UTC)
I did run away and scream a few times, I'll admit. ;)
Tuesday, April 25th, 2006 01:03 pm (UTC)
The answers and explanations everyone has offered look fine and relate to the diagram. I just have one small problem remaining with the question: what does it mean by "with concave hexagonal bases"? If you can get the answer without this information, why add it?
Tuesday, April 25th, 2006 01:20 pm (UTC)
To confuse, of course! It's always been my contention that a significant population of those teaching math are aliens-in-hiding. By confusing and humiliating children at an impressionable age, making math more difficult than it need be and engendering panic by way of the "pop quiz", they can ultimately take over the world.
Tuesday, April 25th, 2006 01:35 pm (UTC)
Ah, so it's the 12 foot lizards! I might have guessed. Another possibility is that they're not so much cunning in their effort to confuse as too stupid to realise they're doing it.
Tuesday, April 25th, 2006 01:58 pm (UTC)
Then how did they engineer the crafts to get them to earth?
Tuesday, April 25th, 2006 02:01 pm (UTC)
Don't know. You'll have to ask David Icke.
Tuesday, April 25th, 2006 02:04 pm (UTC)
I went to his web site and his "Reptilian Connection" link won't load in order for me to better understand what we're up against. I think it's a conspiracy!
Tuesday, April 25th, 2006 02:15 pm (UTC)
Have you looked up David Icke before, or is it my fault?

Anyway, here's a nice piece about him in Wikipedia. If you don't already know this guy, you're sure to say, "I don't believe I'm reading this."
Tuesday, April 25th, 2006 02:25 pm (UTC)
It's your fault. I'd never heard of him until this morning. Now, after reading a bit, I'm thinking up clever plots as to how to retaliate for you introducing me to this guy. I'm thinking of sending you a weighty Geometery textbook postage due!
Tuesday, April 25th, 2006 05:12 pm (UTC)
I always loved problems like that where you had to break the object of interest up into chunks to figure out the total volume. For some reason, I find them so satisfying.... :-)

I didn't calculate it for you (mostly because I can't remember how to calculate the volume of a triangle shape) but it looks like you've had plenty of help.
Tuesday, April 25th, 2006 07:28 pm (UTC)
because I can't remember how to calculate the volume of a triangle shape

Not only is it I can't remember hot to calculate the volume of a triangle, I don't remember learning this at all! And I know I did. I finished the course and passed (just barely). I think I blocked it out because it was just too traumatic!
Wednesday, April 26th, 2006 04:45 pm (UTC)
You can also do it by imagining that it was a whole cuboid (20 x 24 x 6) and then take away the missing part ((3 x 10 x 20) + (3 x 4 x 20)/2) from that. I find that way slightly easier, because I find it fiddly to divide the swimming pool into chunks. :-)